#2. Given the linear transformation T : R2→R?defined by T(x, y) = (10x + 3y, 6x + 2y), find the vector or coordinate formula for the inverse linear transformation T-1(x, y).

2 [1], 0₂ = [1] · ₁ = [3], and y₂ = [¯ ] - 5 6 R² be a linear transformation that maps e₁ into y₁ and 19. Let e₁ = T: R² maps e2 into y2. Find the images of [3] -3 and [2]. x2 and let

Let T: R2→R? be a linear transformation such that T (x1,X2) = (xq +X2, 5x1 + 6x2) · Find x such that T(x) = (3,10). %3D X=

2. Let T : R² → R² be a linear transformation such that: 1 -2 (i) T maps vector u = into the vector a = [ 5 3 (ii) T maps vector v = [³] into the vector b = [ Use the fact that T is a linear transformation to find T(3u +2v). -4